Spectral graph theorySublinear algorithmsRandom walksMethod of momentsThe spectrum of a network or graph G = (V, E) with adjacency matrix A, consists of the eigenvalues of the normalized Laplacian L = I - D~(?1/2)AD?~(1/2). This set of eigenvalues encapsulates many aspects of the ...
Mathematics - Spectral Theory05C5057M1537DxxGiven a finite simple graph G, let G' be its barycentric refinement: it is the graph in which the vertices are the complete subgraphs of G and in which two such subgraphs are connected, if one is contained into the other. If L(0)=0...
Absolutely continuous spectrum and spectral transition for some continuous random operators 来自 Semantic Scholar 喜欢 0 阅读量: 26 作者: KRISHNA,M 摘要: In this paper we consider two classes of random Hamiltonians on \(L^2({\mathbb R}^d)\) : one that imitates the lattice case and the ...
The problem of discrete spectrum for quantum graph with local disturbance of the periodicity is described. The Hamiltonian is determined as 1D Schrdinger operator on each edge and some boundary conditions at each vertex. The spectral analysis of the quantum graph having the form of branching strips...
Spectral geometry runs through much of contemporary mathematics, drawing on and stimulating developments in such diverse areas as Lie algebras, graph theory, group representation theory, and Riemannian geometry. The aim is to relate the spectrum of the Laplace operator or its graph-theoretic analogue,...
It is evident that increasing the data length via zero padding to compute the signal spectrum does not add basic information and does not change the spectral shape but gives the “interpolated spectrum” with reduced frequency spacing. We can get a better view of the two spectral peaks ...
Graph spectrumEnergy (of graph)Let G be a graph on n vertices, and let λ 1, λ 2,…, λ n be the eigenvalues of a (0,1)-adjacency matrix ... I Gutman - 《Linear Algebra & Its Applications》 被引量: 108发表: 2008年 On the Spectral Characterizations of Graphs Several matrices ca...
The spectrum on prism graph using circulant matrix Spectral graph theory discusses about the algebraic properties of graphs based on the spectrum of a graph. This article investigated the spectrum of prism ... T Triyani,M Mashuri,BT Anarkis,... - 《Bulletin of Applied Mathematics & Mathematics ...
Autism is a multifaceted neurodevelopmental condition whose accurate diagnosis may be challenging because the associated symptoms and severity vary considerably. The wrong diagnosis can affect families and the educational system, raising the risk of depr
Based on S R decomposition theorem and Fourier optical theory, a new technique using computer to analysze laser spectral images of finite deformation automatically was put forward. 在S- R和分解定理和 Fourier光学理论的基础上 ,提出了一种使用计算机对有限变形激光频谱图像进行自动分析的新方法 。 更多...